An isometrically universal Banach space with a monotone Schauder basis
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2014
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910119740047360 |
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| author | Garbulińska-Wȩgrzyn, Joanna |
| author_facet | Garbulińska-Wȩgrzyn, Joanna |
| contents | We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1402_2660 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | An isometrically universal Banach space with a monotone Schauder basis Garbulińska-Wȩgrzyn, Joanna Functional Analysis Primary: 46B04. Secondary: 46M15, 46M40 We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pełczyński's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property. |
| title | An isometrically universal Banach space with a monotone Schauder basis |
| topic | Functional Analysis Primary: 46B04. Secondary: 46M15, 46M40 |
| url | https://arxiv.org/abs/1402.2660 |